Samsung Galaxy S III mini VE (GT-I8200Q) Firmware Overview
What is the latest GT-I8200Q firmware?
I8200QJVUAOI1, released October 1, 2015 with Android 4.2.2. The archive holds 4 official builds across 1 region (CSC). Each one is the full stock ROM (flash file) for Odin, not an OTA patch.
Is the Samsung Galaxy S III mini VE still getting updates?
Most likely not: there has been no new firmware since October 2015, so Android 4.2.2 is the last version this model got. The final builds below are still the best choice for a clean reinstall.
All GT-I8200Q firmware builds
Older GT-I8200Q Builds (Archive)
2 earlier builds from the samdb.org catalogue. They are not in the download list above; the link searches for the build on the partner site.
How to Flash GT-I8200Q Firmware
Put the Samsung Galaxy S III mini VE into Download Mode, load the BL, AP, CP and CSC files into Odin on a Windows PC and press Start. Use HOME_CSC to keep your data, CSC for a full wipe.